I know of no standard style but it is easy to set-up

\documentclass{article}
\newcounter{pnum}[section]
\renewcommand{\thepnum}{\thesection.\arabic{pnum}}
\newcommand{\nump}{\noindent\refstepcounter{pnum}{\textbf{\thepnum}}.\enspace}
\begin{document}
\section{Families of cusp forms}
\nump
For a reductive group\dots
\nump
Any cusp form\dots
\section{Families of \( L \)-fuctions}
\nump
The most important\dots
\end{document}
The code introduces a new counter pnum, that is reset each section. Its printed form \thepnum is specified to include the section number. A new command \nump is then defined to start new paragraphs. You can add vertical spacing by preceding the \noindent in that definition by e.g. \smallbreak.